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22142432321220 = 22354348171781677
BaseRepresentation
bin1010000100011011011111…
…10100000001111011000100
32220101210111011211221211010
411002031233310001323010
510400240200133234340
6115032032030042220
74443511054206531
oct502155764017304
986353434757733
1022142432321220
11706760987a992
122597427949370
13c4803a301403
145679b13add88
15285e97392b80
hex14236fd01ec4

22142432321220 has 96 divisors (see below), whose sum is σ = 63453849072768. Its totient is φ = 5766130685952.

The previous prime is 22142432321197. The next prime is 22142432321279. The reversal of 22142432321220 is 2212323424122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11537022 + ... + 13318698.

It is an arithmetic number, because the mean of its divisors is an integer number (660977594508).

Almost surely, 222142432321220 is an apocalyptic number.

22142432321220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142432321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31726924536384).

22142432321220 is an abundant number, since it is smaller than the sum of its proper divisors (41311416751548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22142432321220 is a wasteful number, since it uses less digits than its factorization.

22142432321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786549 (or 1786547 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 22142432321220 its reverse (2212323424122), we get a palindrome (24354755745342).

The spelling of 22142432321220 in words is "twenty-two trillion, one hundred forty-two billion, four hundred thirty-two million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 4817 9634 14451 19268 24085 28902 48170 57804 72255 96340 144510 207131 289020 414262 621393 828524 1035655 1242786 1781677 2071310 2485572 3106965 3563354 4142620 5345031 6213930 7126708 8908385 10690062 12427860 17816770 21380124 26725155 35633540 53450310 76612111 106900620 153224222 229836333 306448444 383060555 459672666 766121110 919345332 1149181665 1532242220 2298363330 4596726660 8582338109 17164676218 25747014327 34329352436 42911690545 51494028654 85823381090 102988057308 128735071635 171646762180 257470143270 369040538687 514940286540 738081077374 1107121616061 1476162154748 1845202693435 2214243232122 3690405386870 4428486464244 5535608080305 7380810773740 11071216160610 22142432321220